close all
clear all
clc

T = 0.01;
t = 0:T:10;

om0 = 2*pi;
phi0 = pi/2;
om1 = pi;
phi1 = pi/3;
x = cos(om0*t+phi0);
y = sin(om1*t+phi1);
z = x+y;

figure(1)
subplot(2,1,1)
plot(t,x,'b-',t,y,'r-')
grid
legend('x(t)','y(t)')
subplot(2,1,2)
plot(t,z,'k-')
grid
legend('z(t)=x(t)+y(t)')


om0 = 2*pi;
phi0 = pi/2;
om1 = 2;
phi1 = pi/3;
x = cos(om0*t+phi0);
y = sin(om1*t+phi1);
z = x+y;

figure(2)
subplot(2,1,1)
plot(t,x,'b-',t,y,'r-')
grid
legend('x(t)','y(t)')
subplot(2,1,2)
plot(t,z,'k-')
grid
legend('z(t)=x(t)+y(t)')